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- W4287255246 abstract "We present a novel model-order reduction (MOR) method for linear time-invariant systems that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonian (pH) systems. Our algorithm exploits the well-known spectral factorization of the Popov function by a solution of the Kalman-Yakubovich-Popov (KYP) inequality. It performs MOR directly on the spectral factor inheriting the original system's sparsity enabling MOR in a large-scale context. Our analysis reveals that the spectral factorization corresponding to the minimal solution of an associated algebraic Riccati equation is preferable from a model reduction perspective and benefits pH-preserving MOR methods such as a modified version of the iterative rational Krylov algorithm (IRKA). Numerical examples demonstrate that our approach can produce high-fidelity reduced-order models close to (unstructured) $mathcal{H}_2$-optimal reduced-order models." @default.
- W4287255246 created "2022-07-25" @default.
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- W4287255246 date "2021-03-24" @default.
- W4287255246 modified "2023-09-25" @default.
- W4287255246 title "Passivity preserving model reduction via spectral factorization" @default.
- W4287255246 doi "https://doi.org/10.48550/arxiv.2103.13194" @default.
- W4287255246 hasPublicationYear "2021" @default.
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